Transcendental numbers and fractal functions in problems of finite control of distributed systems

DOI10.1134/S106456240803040XzbMath1147.93025MaRDI QIDQ954221

A. G. Butkovskii, A. N. Agadzhanov

Publication date: 10 November 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

hyperbolic partial differential equationsexistence of a finite controlrelations between classes of algebraic and transcendental numbers

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Transcendence (general theory) (11J81)

Related Items

Superfractal finite controls and the Baire principle in distributed oscillating systems, Necessary and sufficient conditions for the optimal control of distributed parameter systems subject to integral constraints, Fractal controls and quasi-analytic classes of functions in the Cauchy problem for a fractional-order diffusion equation, Near-optimum control of distributed parameter systems via singular perturbation theory, Some recent applications of distributed parameter systems theory - a survey, New classes of stochastic control processes, Inverse problems of determining the right-hand side and the initial conditions for the beam vibration equation

Cites Work

• Representations of real numbers as sums and products of Liouville numbers
• On Mahler's U -Numbers